Analysis of chaotic behavior in the extended Duffing--Van der Pol system subject to additive non-symmetry biharmonical excitation

DOI10.1016/J.AMC.2006.06.033zbMath1130.70323OpenAlexW2079956827MaRDI QIDQ865521

N. E. Zubov

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.033

zbMATH Keywords

random phasecontrolling chaostop Lyapunov exponent

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator ⋮ Chaotic behavior of the biharmonic dynamics system

Cites Work

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• Lyapunov exponent and chaos of Duffing's equation perturbed by white noise
• Chaos control by harmonic excitation with proper random phase
• Suppressing chaos of a complex Duffing's system using a random phase
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations

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